University:
High School
Course:
High School Mathematics
Academic year:

2021
Views:

304

Pages:

4
Author:

anjaranaye8

Algebra II Semester 1 Final Review (More Practice) . Transformations & Quadratic Functions: 1) Graph the function and its parent function. Then describe the transformation. g(x) = I xl + 2 2) What are the transformations on f(x) when g(x) = -�4 f (x - 1) + 5 is graphed? 't" "- (\ 3) Sketch the graph of each of the following. State the vertex and all intercepts. a. f(x) = 2(x d. y = -(x + + 1) 2 2) - 2 b. y = - 2 e. f(x) 2 -2x2 - 4x - 4 c. = x2 + 4x nC)C)-;: -.1l.f {x-i' + s (x + 3)(x - 1) = J(x) f. y (x-1)_1-45 h{>c)=- -� = 2(x + 1) - 2 2 Solving Quadratic Equations: Solve each of the following: 1) 2) 3) Q Q =� � 3x2 - 48 = 0 'j,?:::4'6 )( ::: Ho iX + x=-13 ,<:.-:::'3. �- _e- q, � = t-a � 2 0 .:> )(+ - ::,--· _...1��-x + lOx + 25 = 64 lxtS\ '/ :::fo4 � 'I<.� .ir7· � :::: -�7� 36x 2 + 49 = 0 'b�:1.'d-== -\..\l\ 1'¼i�:: � � __, 4) What do you add to both sides of the equation x - 6x = -4 to "com_plete the square?" ,\.J.d •� -1-o bo+-h SM�. 5) A toy rocket is fired straight into the air. The rocket has an initial velocity of 48 feet per second X=-:... x" -;1��1o) ,c.::. /5 and its height is modeled by the equation h(t) = 480t � 16! 2 , where h is the height (in feet) and 2 t is the time (in seconds). At what time will the toy rocket reach its �aximun:1 height?��-� �i�{:t�� 6) Write (1 - i) -( 4 - 5i) as a complex number in standard form. \ -v\-\ t� v=- L..- + t.i--�-, 1 __:;.........; . C'\, • _c ·? - - 1S -+ (JP, '" "' 4 7) Write (-4 + 5i)(5 - i) as a complex number in standard form. -e1,.0 k \, + r!--J" .>J.. - ..___· ----J Polynomial Functions: 1) .�Y Divide 3x - 2x + 4x - 3 by x + 3x + 3. 3 2 2 - 3 2x -x+ 3 2) Divide: x+2 � � 3) What are the zeros for the graph shown: 4) Factor the polynomial completely: 4a - 12a + 8 5) Factor the polynomial completely: 6) Factor the polynomial completely: Show that x leading coefficient off f(x) L4 - 4 \) X " 5x - 80 3x3 -12x 2 -x+4 + 3 is a factor of f(x) = 3x4 9) The graph of a cubic function -4 4 3 7) Factor the polynomial completely: x -125 8) ,- \ - - 2 ,,� -4 ,- - 3x 3 - 36x2 . Then factor f(x) completely. is shown. Describe the degree and the - ·- ·-� 4 ,_ ,-... - -=8 - Y s" - -4 ,_ .. ----� f(x) ·- 7· I -i ·- 'l-L ,.. --· 1(-;, _j �I a·x, - ____ I l T1· I �uj\�I' <¾